Q: Which of the following is NOT a correct conversion for pressure?

1 torr = $$1.01325 \times 10^5$ Pa

Question 1

A block of aluminum (density $$2.7 	imes 10^3$ kg/m^3$) with a volume of 0.01$ m^3$ is completely submerged in water (density 1.0$$ 	imes $$10^3 kg/m$^3). $$What is the magnitude of the buoyant force acting on the block?

Accepted Answer

$$100 N$$

Question 2

Which of the following statements best describes Pascal's Law?

Accepted Answer

The pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of the containing vessel.

Question 3

A hydraulic lift has two pistons. The small piston has an area of $$0.01 m$^2$$ and the large piston has an area of $$0.5 m$^2. If a $$force of $$200 N is $$applied to the small piston, what is the maximum weight that can be lifted by the large piston (neglecting friction)?

Accepted Answer

$$10,000 N$$

Question 4

The pressure at a depth $$h$$ below the surface of a fluid open to the atmosphere is given by which equation?

Accepted Answer

$$p = p_0$ + \rho gh$$

Question 5

A diver is $$20 m $$below the surface of the ocean. What is the absolute pressure at this depth? (Assume atmospheric pressure $$p_0 = 1.0$$ 	imes $$10^5 Pa$$, density of seawater $$ho = 1.03 	imes 10^3$ kg/m^3$, g = 9.8$ m/s^2$)

Accepted Answer

$$3.02 	imes 10^5$ Pa

Question 6

Which of the following is the correct SI unit for pressure?

Accepted Answer

N/m$$^2$$

Question 7

A foam board has dimensions $$0.05 m$$ $$	imes$$ $$0.6 m$$ $$	imes$$ $$1.2 m $$and a density of $$40 kg/m$^3. $$When fully submerged in water, what is the magnitude of the buoyant force acting on it? (Use $$ho_{water} = 1000 kg/m$^3$$, $$g = 9.8 m/s$^2)$$

Accepted Answer

$$353 N$$

Question 8

Which of the following best defines the specific gravity of a material?

Accepted Answer

The ratio of the density of the material to the density of water.

Question 9

A pressure gauge at the bottom of a swimming pool reads $$2.5 	imes 10^5$ Pa. If atmospheric pressure is 1.0$$ 	imes $$10^5 Pa$$, what is the gauge pressure at this point?

Accepted Answer

$$1.5 	imes 10^5$ Pa

Question 10

A cube of gold (density $$19.3 	imes 10^3$ kg/m^3$) and a cube of lead (density 11.3$$ 	imes $$10^3 kg/m$^3) $$each have a mass of $$1 kg. $$Which cube experiences a greater buoyant force when fully submerged in water?

Accepted Answer

The lead cube, because it has a lower density.

Question 11

Which of the following is NOT a correct conversion for pressure?

Accepted Answer

1 torr = $$1.01325 	imes 10^5$ Pa

Question 12

A submarine is at a depth where the absolute pressure is $$5.0 	imes 10^5$ Pa. If the atmospheric pressure at the surface is 1.0$$ 	imes $$10^5 Pa$$, what is the gauge pressure at this depth?

Accepted Answer

$$4.0 	imes 10^5$ Pa

Question 13

If the pressure at a certain depth in a fluid is $$3.0 	imes 10^5$ Pa and the atmospheric pressure is 1.0$$ 	imes $$10^5 Pa$$, what is the pressure due to the fluid column alone?

Accepted Answer

$$2.0 	imes 10^5$ Pa

Question 14

A block is floating in water with half its volume submerged. What is the density of the block relative to water?

Accepted Answer

Half the density of water

Question 15

Which of the following best explains why the pressure at a given depth in a fluid does not depend on the shape of the container?

Accepted Answer

Because of Pascal's Law, which states that pressure applied to an enclosed fluid is transmitted undiminished throughout the fluid.

Question 16

A glass of mercury (density $$13.6 	imes 10^3$ kg/m^3$) and a glass of water (density 1.0$$ 	imes $$10^3 kg/m$^3) $$are both filled to the same height. Which glass has the greater pressure at the bottom?

Accepted Answer

The glass of mercury, because mercury is denser.

Question 17

A cube of unknown material floats in water with $$70\% of $$its volume submerged. What is the density of the material?

Accepted Answer

$$0.70 	imes 10^3$ kg/m^3$

Question 18

Which of the following is the correct expression for the buoyant force $$F_B on an $$object of volume $$V$$ fully submerged in a fluid of density $$\rho$$?

Accepted Answer

$$F_B = \rho V g$$

Question 19

A sealed tank contains oil (density $$900 kg/m$^3) to a $$depth of $$10 m. If $$the air pressure above the oil is $$2.0 	imes 10^5$ Pa, what is the absolute pressure at the bottom of the tank? (g = 9.8$ m/s^2$)

Accepted Answer

$$2.88 	imes 10^5$ Pa

Chapter 13: Fluid Statics (Sections 1–3) – Mass Density, Pressure, and Archimedes’ Principle

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